The experiments have released the data of \(e^+e^-\)  annihilation into light mesons [1]}, [2]}, [3]}, [4]}, where the collision energy reaches up to \(\sim 3\)  GeV. When checking these data, we find possible enhancement structures existing in the corresponding invariant mass spectra with mass range from 2.4 GeV to 3 GeV.
For example, in the \(e^+e^-\rightarrow \omega \pi ^+\pi ^-\pi ^0\)  process [1]}, several enhancement structures existing in the energy range of 2.4 GeV are obvious. However, in the process of \(e^+e^-\rightarrow \pi ^+\pi ^-\pi ^0\) , we cannot find conspicuous enhancement structure [2]}. Thus, we still need more precise data.
In the following, we can find many narrow structures above 2.4 MeV in the process of \(e^+e^-\rightarrow K_2^{*0}(1430)K^-\pi ^+\)  reported by the BaBar Collaboration [3]}.
The cross section of \(e^+e^-\rightarrow \phi f_2^{\prime }(1525)\)  was also measured by the BaBar Collaboration. Here, there exist possible enhancement clusters around 2.7 GeV and a clear \(J/\psi \)  signal [3]}.
And then, the Belle Collaboration studied the process of \(e^+e^-\rightarrow \phi \pi ^+\pi ^-\)  and \(e^+e^-\rightarrow \phi f_0(980)\)  [4]}, where the event accumulation around 2.4 GeV and 2.6 GeV can be found.
We conjecture that these enhancement structures with low significance can be due to these unknown light unflavor vector mesons.
